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Mathematical Aspects of Geometric Modeling
660 kr
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682 kr
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On., 16 april - fr., 25 april
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Adlibris
Produktbeskrivelse
This monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with complex analytic structure. In the first two chapters, the de Casteljau subdivision for Bernstein-Bezier curves is used to introduce matrix subdivision, and the Lane-Riesenfield algorithm for computing cardinal splines is tied into stationary subdivision. This ultimately leads to the construction of prewavelets of compact support. Chapters three and four deal with concepts of "visual smoothness" of curves, and the intriguing idea of generating smooth multivariate piecewise polynomials as volumes of "slices" of polyhedra. The final chapter discusses recursive algorithms for the evaluation of polynomials. Each chapter contains introductory material as well as more advanced results.
Artikkel nr.
1b6a2392-38e3-49ea-b3a5-4aaf90cdbf90
Mathematical Aspects of Geometric Modeling
660 kr
660 kr
Tidligere laveste pris:
682 kr
På lager
On., 16 april - fr., 25 april
Sikker betaling
14 dagers åpent kjøp
Selges og leveres av
Adlibris
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